Energy bounds for the spinless Salpeter equation: harmonic oscillator

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dc.creatorHall, Richard L.
dc.creatorLucha, Wolfgang
dc.creatorSchoeberl, Franz F.
dc.date2000-12-14
dc.date.accessioned2026-07-07T10:53:29Z
dc.date.available2026-07-07T10:53:29Z
dc.descriptionWe study the eigenvalues E_{n\ell} of the Salpeter Hamiltonian H = β\sqrt(m^2 + p^2) + vr^2, v>0, β> 0, in three dimensions. By using geometrical arguments we show that, for suitable values of P, here provided, the simple semi-classical formula E = min_{r > 0} {v(P/r)^2 + β\sqrt(m^2 + r^2)} provides both upper and lower energy bounds for all the eigenvalues of the problem.
dc.description8 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/hep-th/0012127
dc.identifierhttp://arxiv.org/abs/hep-th/0012127
dc.identifierJ.Phys.A34:5059-5064,2001
dc.identifierdoi:10.1088/0305-4470/34/24/304
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/185498
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleEnergy bounds for the spinless Salpeter equation: harmonic oscillator
dc.typetext

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